365216 has 24 divisors (see below), whose sum is σ = 732564. Its totient is φ = 179200.

The previous prime is 365213. The next prime is 365231. The reversal of 365216 is 612563.

It can be written as a sum of positive squares in 2 ways, for example, as 364816 + 400 = 604^2 + 20^2 .

It is an alternating number because its digits alternate between odd and even.

Its product of digits (1080) is a multiple of the sum of its prime divisors (216).

It is a junction number, because it is equal to n+sod(n) for n = 365191 and 365200.

It is not an unprimeable number, because it can be changed into a prime (365213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3176 + ... + 3288.

2³⁶⁵²¹⁶ is an apocalyptic number.

It is an amenable number.

365216 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

365216 is a wasteful number, since it uses less digits than its factorization.

365216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 216 counting only the distinct ones).

The product of its digits is 1080, while the sum is 23.

The square root of 365216 is about 604.3310351124. The cubic root of 365216 is about 71.4797895508.

Adding to 365216 its reverse (612563), we get a palindrome (977779).

The spelling of 365216 in words is "three hundred sixty-five thousand, two hundred sixteen".